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\sqrt{625+\left(-5\right)^{2}}
Calculate 25 to the power of 2 and get 625.
\sqrt{625+25}
Calculate -5 to the power of 2 and get 25.
\sqrt{650}
Add 625 and 25 to get 650.
5\sqrt{26}
Factor 650=5^{2}\times 26. Rewrite the square root of the product \sqrt{5^{2}\times 26} as the product of square roots \sqrt{5^{2}}\sqrt{26}. Take the square root of 5^{2}.